Regular Article - Theoretical Physics
Jeans analysis in energy–momentum-squared gravity
School of Astronomy, Institute for Research in Fundamental Sciences (IPM), 19395-5531, Tehran, Iran
2 Department of Physics, Faculty of Science, Ferdowsi University of Mashhad, P.O. Box 1436, Mashhad, Iran
3 Donostia International Physics Center (DIPC), 20018, Donostia-San Sebastian, Gipuzkoa, Spain
4 Dipartimento di Fisica, Università di Torino, Via P. Giuria 1, 10125, Turin, Italy
5 Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Torino, Via P. Giuria 1, 10125, Turin, Italy
6 Dipartimento di Fisica “E. Pancini”, Universitá di Napoli “Federico II”, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Naples, Italy
7 Lab. Theor. Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050, Tomsk, Russia
Accepted: 18 January 2020
Published online: 19 February 2020
In this paper, we study the Jeans analysis in the context of energy–momentum-squared gravity (EMSG). More specifically we find the new Jeans mass for non-rotating infinite mediums as the smallest mass scale for local perturbations that can be stable against its own gravity. Furthermore, for rotating mediums, specifically for rotating thin disks in the context of EMSG, we find a new Toomre-like criterion for the local gravitational stability. Finally, the results are applied to a hyper-massive neutron star, as an astrophysical system. Using a simplified toy model we have shown that, for a positive (negative) value of the EMSG parameter , the system is stable (unstable) in a wide range of . On the other hand, no observational evidence has been reported on the existence of local fragmentation in HMNS. Naturally, this means that EMSG with positive is more acceptable from the physical point of view.
© The Author(s) 2020
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